A ball of mass $ 0.5 ext{ kg}$ is thrown vertically upwards and rises to a height of $ 20 ext{ m}$. The init

Question

A ball of mass $ 0.5	ext{ kg}$ is thrown vertically upwards and rises to a height of $ 20	ext{ m}$. The initial velocity of the ball is: (Consider $ g = 10	ext{ m/s}^2 $)

Examoogle · Accepted Answer

The correct answer is Option A: 20 m/s. Calculating Initial Velocity of a Ball Rising Vertically Under Gravity

Step-by-Step Solution & Concepts:
Key Fact: Calculating Initial Velocity of a Ball Rising Vertically Under Gravity

Given: Mass $m = 0.5	ext{ kg}$, Maximum height $h = 20	ext{ m}$, Acceleration due to gravity $g = 10	ext{ m/s}^2$

Key Formulas: $u = \sqrt{2gh}$

Key Points: Initial velocity is independent of mass $m$ for free vertical flight.; $u = 20	ext{ m/s}$.

Steps: Apply Kinematic Equation of Motion: At the maximum height, the final velocity of the ball becomes zero ($v = 0	ext{ m/s}$). Using the third equation of vertical motion under gravity: $$v^2 = u^2 - 2gh$$. Solve for Initial Velocity u: $$u^2 = 2gh = 2 	imes 10 	imes 20 = 400$$ $$u = \sqrt{400} = 20	ext{ m/s}$$

Answer: Option A is correct — 20 m/s

Correct Answer

Solve 10,000+ More Questions with AI Tutor

Discussion (0)

Correct Answer

Solve 10,000+ More Questions with AI Tutor

Related Questions

Discussion (0)